Question

Simplify: 7 / √3+1 + 7 / √3−1

Answer 1

Step-by-step explanation:

7(√3 - 1) + 7(√3 + 1) / (√3+1)(√3-1)

7(√3 - 1 + √3 + 1) / (3 - 1)

7 * 2√3 / 2

14√3 / 2

= 7√3 ( √147 )

Answer 2

Solution :-

$\frac{7}{ \sqrt{3} + 1 } + \frac{7}{ \sqrt{3} - 1} \\ cross \: multiplication \\ = \frac{7( \sqrt{3} - 1) + 7( \sqrt{3} + 1) }{( \sqrt{3 } + 1)( \sqrt{3} - 1)} \\ using \: (a + b )(a - b) = {a}^{2} - {b}^{2} \: in \: denominator \\ = \frac{7 \sqrt{3} - 7 + 7 \sqrt{3} + 7 }{ {( \sqrt{3} )}^{2} - {1}^{2} } \\ = \frac{14 \sqrt{3} }{3 - 1} \\ = \frac{14 \sqrt{3} }{2} \\ = 7 \sqrt{3}$

Thanks for the question bro